Two-cluster approach to the properties of one- and two-neutron-halo nuclei

Abstract

In this work, we present a new approximate method for obtaining simple wave functions for the ground state of exotic nuclei with a neutron halo. We model the system as a two-cluster structure, treating the core and halo as inert objects. The relative wave function is expressed as a combination of simple harmonic oscillator states, with the oscillator parameter determined from the separation energy. Since these wave functions lack the expected exponential decay, we introduce a simple multiplicative renormalization factor based on the nuclear root mean square radius. This approach, combining oscillator wave functions and the renormalization factor, is then applied to calculate dipole strength distributions $dB(E1,\epsilon )/d\epsilon$ and Coulomb dissociation cross section $d\sigma (E1,\epsilon )/d\epsilon$ for several $1n$- and $2n$-halo nuclei. The results show excellent agreement with the available experimental data.

12 pages, 5 figures

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Cited by in corpus (1)

• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei